✅
Step-by-step explanation:
![( {x}^{2} + 3) - [3x + (8 - {x}^{2} )] \\ = {x}^{2} +3 - [3x + 8 - {x}^{2} ] \\ = {x}^{2} + 3 - 3x - 8 + {x}^{2} \\ = 2 {x}^{2} - 3x - 5](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%203%29%20-%20%5B3x%20%2B%20%288%20-%20%20%7Bx%7D%5E%7B2%7D%20%29%5D%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B3%20-%20%20%5B3x%20%2B%208%20-%20%20%7Bx%7D%5E%7B2%7D%20%5D%20%5C%5C%20%20%3D%20%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%203%20-%203x%20-%208%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%202%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20-%205)

Answer:
x=4
y=3
Step-by-step explanation:
Answer:
m∠ABC = m∠BED; Corresponding Angles Theorem
Step-by-step explanation:
<u>Given:</u> line BC is parallel to line ED m∠ABC = 70° m∠CED = 30°
<u>Prove:</u> m∠BEC = 40°
Statement Justification
1. line BC is parallel to line ED - Given
2. m∠ABC = 70° - Given
3. m∠CED = 30° - Given
4. m∠BEC + m∠CED = m∠BED - Angle Addition Postulate
5. m∠ABC = m∠BED - Corresponding Angles Theorem
6. m∠BEC + 30° = 70° - Substitution Property of Equality
7. m∠BEC = 40° Subtraction Property of Equality
Combine like terms in the first set and get
41.6x +52/2.6x + 13
I got 16x + 4